Quenching of the DOS beats in a two-dimensional electron gas in tilted magnetic fields

TL;DR

This paper analyzes how tilted magnetic fields affect the density of states in a 2D electron gas with Rashba spin-orbit interaction, revealing the suppression of beating patterns and persistent spin-splittings.

Contribution

It provides an exact solution for eigenvalues in a tilted magnetic field, showing the absence of eigenenergy crossings and their impact on DOS oscillations.

Findings

No crossings between eigenenergies in tilted fields

Quenched beating structures in DOS oscillations

Persistent spin-splittings at weak magnetic fields

Abstract

A two-dimensional electron gas exposed to a tilted magnetic field is considered with the Rashba spin-orbit interaction and the Zeeman effect. An exact solution for the eigenvalues were obtained assuming that two opposite spin states of adjacent Landau levels have equal probability. No crossings between adjacent eigenenergies were observed unlike in the perpendicular-magnetic-field case. The absence of crossings lead to quenched beating structures in the oscillations of the density of states (DOS). Persistent spin-splittings were observed at the weak magnetic field region. The splittings, however, can be effectively screened by an increased Landau level broadening. The results shed light on how spins can be controlled through the Rashba interaction strength, the disorder-related broadening and the magnetic field tilt angle.